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Munakata, Mika; Vaidya, Ashwin; Monahan, Ceire; Krupa, Erin – PRIMUS, 2021

This paper describes the development and implementation of course modules intended to encourage creative thinking in an undergraduate general education mathematics course. The modules were designed to address the characteristics of creativity outlined in the literature through explorations of mathematics relevant to non-mathematics majors. A…

Descriptors: Mathematics Instruction, Creative Thinking, Undergraduate Study, College Mathematics

Yurasovskaya, Ekaterina – PRIMUS, 2021

Service-learning provides a versatile pedagogical platform that can improve the academic performance of participating students and open space for a discussion of issues of social justice within a mathematics classroom. We describe our Precalculus course with a service-learning component, in which university students regularly tutor algebra…

Descriptors: Service Learning, Teaching Methods, Mathematics Instruction, Social Justice

The Eighth Characteristic for Successful Calculus Programs: Diversity, Equity, & Inclusion Practices

Hagman, Jessica Ellis – PRIMUS, 2021

Through a multi-year, national calculus study, researchers have recently identified seven characteristics of successful college calculus programs. We identified these seven characteristics by visiting five doctoral-granting mathematics departments with successful calculus programs and uncovering the common traits among them. These seven traits…

Descriptors: Mathematics Instruction, Calculus, Inclusion, Preservice Teacher Education

Childers, Adam F.; Taylor, David G. – PRIMUS, 2021

Teaching introductory statistics is a service requirement for many mathematics faculty, and the audience is often anxious about the subject and not always excited about the material. Making class fun, relevant, and visually stimulating is key to keeping students engaged in the material and also in promoting student learning. Collecting data from…

Descriptors: Data Collection, Data Analysis, Statistics, Mathematics Education

Johns, Carolyn; Mills, Melissa – PRIMUS, 2021

During the Spring 2020 semester, universities transitioned to online instruction to slow the spread of COVID-19. During this time, mathematics support/tutoring centers also moved their services online. We discuss best practices for online tutoring from the literature and the shared experiences of 28 tutoring center leaders who transitioned to…

Descriptors: COVID-19, Pandemics, Online Courses, Distance Education

Radzimski, Vanessa; Leung, Fok-Shuen; Sargent, Pam; Prat, Alain – PRIMUS, 2021

We discuss an innovative course model used in first-year calculus courses at a large North American research university, which we refer to as the "Blended Model." We argue that our model takes the best features of lectures, flipped classrooms, and traditional recitations, and gathers them into a cohesive, robust structure that benefits…

Descriptors: Teaching Methods, Flipped Classroom, Calculus, Research Universities

Apkarian, Naneh; Kirin, Dana; Gehrtz, Jessica; Vroom, Kristen – PRIMUS, 2021

The Mathematical Association of America's "Precalculus to Calculus: Insights and Innovations Conference" brought together representatives of mathematics departments from across the country with members of two national research projects to share and discuss both research findings and on-the-ground concerns of faculty. In this article, we…

Descriptors: College Mathematics, Undergraduate Study, Mathematics Education, Conferences (Gatherings)

Bertrand, Elliott; McArdle, David T.; Thoma, Lubos; Wu, Li – PRIMUS, 2021

The percentage of college students receiving unproductive grades in introductory mathematics courses is a concern for post-secondary institutions across the country. Many factors can be targeted as potential explanations for this lack of success, yet none of these issues are more noteworthy than the fact that many students enter college…

Descriptors: College Students, Mathematics Instruction, College Mathematics, Mathematics Skills

Osborne, Jason M.; Cook, William; Bossé, Michael J. – PRIMUS, 2021

In this paper we introduce the reader to a foundational topic of differential geometry: the curvature of a curve. To make this topic engaging to a wide audience of readers, we develop this intuitive introduction employing only basic geometry without calculus and derivatives. It is hoped that this introduction will encourage many more to both…

Descriptors: Mathematics Instruction, Geometry, Geometric Concepts, High Schools

Lewis, Drew; Clontz, Steven; Estis, Julie – PRIMUS, 2021

Team-Based Learning (TBL) is a cooperative learning strategy blending elements of flipped learning, inquiry-based learning, and problem-based learning. Although used quite frequently in other disciplines, use of this strategy in mathematics has been limited. In this article, we describe how TBL can be implemented in math courses with adherence to…

Descriptors: Cooperative Learning, Inquiry, Active Learning, Flipped Classroom

El Turkey, Houssein; Turki, Salam; Kottegoda, Yasanthi – PRIMUS, 2021

Many active learning practices highly depend on students' advance preparation for the class. However, reading Calculus can be a challenging task to students. We address this concern by assigning targeted pre-class readings in multiple Calculus courses. We report on our implementations, provide students' feedback, and discuss the lessons learned…

Descriptors: Reading Assignments, Calculus, Flipped Classroom, Mathematics Instruction

Rapke, Tina; Hall, Jennifer; Marynowski, Richelle – PRIMUS, 2021

We describe a method that instructors can use to grade tests and assignments that can be used in follow-up inquiry-based activities in class to review material. The grading process is essentially a sorting of student assignment/test responses based on the instructor's conception of what makes responses acceptable. The instructor can assign a grade…

Descriptors: Grading, Assignments, Tests, Inquiry

Sole, Marla A. – PRIMUS, 2021

Financial literacy is ideally suited to be integrated into mathematics courses and taught in an interdisciplinary manner. Students learn best and are motivated when tackling real-world meaningful questions. This article shares how elementary mathematics was applied to better understand the debate about raising the minimum wage and the United…

Descriptors: Interdisciplinary Approach, Money Management, Mathematics Instruction, Authentic Learning

Childers, Annie Burns; Lu, Lianfang; Hairston, Joshua; Squires, Timothy – PRIMUS, 2021

This paper reports on mathematics remediation efforts at a public 4-year institution. Specifically, it describes redesign efforts that led to the implementation of co-requisite mathematics remediation. Data on this program were collected and analyzed with respect to completion rates, length of time to earn college mathematics credit, and factors…

Descriptors: Remedial Mathematics, College Students, Program Effectiveness, College Mathematics

Case, Joshua; Speer, Natasha – PRIMUS, 2021

In undergraduate mathematics, deductive reasoning plays important roles in teaching and learning various ideas, and is primarily characterized by the concept of logical implication. This comes up whenever conditional statements are applied, i.e., one checks if a statement's hypotheses are satisfied and then makes inferences. In calculus, students…

Descriptors: Calculus, Mathematics Instruction, Logical Thinking, Teaching Methods